### Problem 4**Context:**A long straight wire of length 0.2 m is attached to a wall by a horizontal spring with a spring constant of \( k = 10 \, \text{N/m} \). (Neglect gravity.) The wire is sitting in a uniform 0.5-T magnetic field (\( B \)) that points out of the page. When a current is turned on in the wire, the spring is stretched by 1.0 cm.**Question:**What are the direction and magnitude of the current in the wire? (Recall that \( |F_{\text{spring}}| = kx \)).**Options:**A. 1.0 A, up B. 1.0 A, down C. 100 A, up D. 100 A, down E. 400 A, up**Diagram Explanation:**- The diagram shows a wall on the left, to which a horizontal spring is attached.- The right end of the spring is connected to a wire that runs vertically.- The magnetic field (\( B \)) is denoted by circles with dots in the center, indicating it points out of the page.### Problem 5**Context:**A long straight wire is carrying a current \( I_w = 5.0 \, \text{A} \) upward as shown in the figure below. A single, circular conducting loop of wire with a radius \( R = 0.02 \, \text{m} \) is located near the wire such that the closest distance from the wire to the loop's edge is 0.06 m.**Question:**What must be the magnitude and direction of a current flowing around the loop such that the net magnetic field at the loop’s center is zero?**Options:**A. 1.67 A, cw B. 1.67 A, ccw C. 0.40 A, cw D. 0.40 A, ccw E. 1.00 A, ccw**Diagram Explanation:**- The diagram shows a straight wire carrying current \( I_w \) upward.- A circular loop with radius \( R \) is placed near the wire, with the nearest point of the loop being 0.06 m from the wire.- The loop’s position and dimensions relative to the wire are

Answered: Image /qna-images/answer/d2660007-4dd8-4e47-8acb-46e92a60953c.jpg

4. A long straight wire of length 0.2 m is attached to a wall by a horizontal spring with a spring constant of k= 10 N/m. (Neglect gravity.) The wire is sitting in a uniform 0.5-T magnetic field (B) that points out of the page. When a current is turned on in the wire, the spring is stretched by 1.0 cm. What are the direction and magnitude of the current in the wire? (Recall that | Fspring |= kx) A. 1.0 A, up B. 1.0 A, down C. 100 A, up D. 100 A, down E. 400 A, up O

4. A long straight wire of length 0.2 m is attached to a wall by a horizontal spring with a spring constant of k= 10 N/m. (Neglect gravity.) The wire is sitting in a uniform 0.5-T magnetic field (B) that points out of the page. When a current is turned on in the wire, the spring is stretched by 1.0 cm. What are the direction and magnitude of the current in the wire? (Recall that | Fspring |= kx) A. 1.0 A, up B. 1.0 A, down C. 100 A, up D. 100 A, down E. 400 A, up O

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

### Problem 4
**Context:**
A long straight wire of length 0.2 m is attached to a wall by a horizontal spring with a spring constant of \( k = 10 \, \text{N/m} \). (Neglect gravity.) The wire is sitting in a uniform 0.5-T magnetic field (\( B \)) that points out of the page. When a current is turned on in the wire, the spring is stretched by 1.0 cm.

**Question:**
What are the direction and magnitude of the current in the wire? (Recall that \( |F_{\text{spring}}| = kx \)).

**Options:**
A. 1.0 A, up
B. 1.0 A, down
C. 100 A, up
D. 100 A, down
E. 400 A, up

**Diagram Explanation:**
- The diagram shows a wall on the left, to which a horizontal spring is attached.
- The right end of the spring is connected to a wire that runs vertically.
- The magnetic field (\( B \)) is denoted by circles with dots in the center, indicating it points out of the page.

### Problem 5
**Context:**
A long straight wire is carrying a current \( I_w = 5.0 \, \text{A} \) upward as shown in the figure below. A single, circular conducting loop of wire with a radius \( R = 0.02 \, \text{m} \) is located near the wire such that the closest distance from the wire to the loop's edge is 0.06 m.

**Question:**
What must be the magnitude and direction of a current flowing around the loop such that the net magnetic field at the loop’s center is zero?

**Options:**
A. 1.67 A, cw
B. 1.67 A, ccw
C. 0.40 A, cw
D. 0.40 A, ccw
E. 1.00 A, ccw

**Diagram Explanation:**
- The diagram shows a straight wire carrying current \( I_w \) upward.
- A circular loop with radius \( R \) is placed near the wire, with the nearest point of the loop being 0.06 m from the wire.
- The loop’s position and dimensions relative to the wire are

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